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Algebraic and Set-Theoretical Properties of Some Subsets of Families of Convergent and Divergent Permutations Cover

Algebraic and Set-Theoretical Properties of Some Subsets of Families of Convergent and Divergent Permutations

By: Roman Wituła  
Open Access
|Aug 2013

References

  1. [1] KRONROD, A.S.: On permutation of terms of numerical series, Mat. Sb. 18 60 (1946), 237-280. (In Russian)
  2. [2] WITUŁA, R.: On the set of limit points of the partial sums of series rearranged by a givendivergent permutation, J. Math. Anal. Appl. 362 (2010), 542-552.10.1016/j.jmaa.2009.09.028
  3. [3] WITUŁA, R.: Algebraic properties of the convergent and divergent permutations, Filomat (in review).
  4. [4] WITUŁA, R.: Permutations preserving the sum of real convergent series, Cent. Eur. J. Math. 11 (2013), 956-965.
  5. [5] WITUŁA, R.: The family F of permutations of N, Math. Slovaca (submitted).
  6. [6] WITUŁA, R.-SŁOTA, D.-SEWERYN, R.: On Erdös’ theorem for monotonic subsequences, Demonstratio Math. 40 (2007), 239-259.
  7. [7] WITUŁA, R.: The Riemann derangement theorem and divergent permutations, TatraMt. Math. Publ. 52 (2012), 75-82.
DOI: https://doi.org/10.2478/tmmp-2013-0016 | Journal eISSN: 1338-9750 | Journal ISSN: 12103195
Language: English
Page range: 27 - 36
Published on: Aug 13, 2013
Published by: Slovak Academy of Sciences, Mathematical Institute
In partnership with: Paradigm Publishing Services
Publication frequency: 3 issues per year

© 2013 Roman Wituła, published by Slovak Academy of Sciences, Mathematical Institute
This work is licensed under the Creative Commons License.